• Process Integration
• Probabilistic Simulation
• Sensitivity Analysis
• Reliability Analysis
• Robustness Analysis
• Meta-Modeling
• Global Optimization
• Parameter Identification
• Multi-Objective Optimization
• Tolerance-Cost-Optimization
• Robust-Design-Optimization
• Multidisciplinary Design
• Data-Mining

Probabilistic / Stochastic / Statistical Simulation

The characteristics of technical systems are not unchanging, they vary however in the reality. These realistic aspects as variability, uncertainty, tolerance and error have to be considered for design of technical systems related to quality and reliability. They are characterized by a probability distribution caused by manufacturing inaccuracy, process uncertainty, environment influences, abrasion, human factors etc. The deterministic simulation cannot predict the real system behaviors, because one nominal simulation shows only one point in the design space . Probabilistic simulation has to be performed to get the real system behaviors. From input distributions, the output distributions have to be calculated based on the deterministic model by any simulation system. It is also called tolerance analysis in the design engineering. The real system behaviors for different conditions can be evaluated from these output probability distributions. In OptiY®, not only Monte-Carlo-sampling and response surface methodology, also brand-new analytical methods (so-called moment methods) are available, which can calculate the output distributions extremely fast and accurate.

Distribution Fitting

The stochastic input probability distributions can be fitted by statistical moments or by measuring and manufacturing data. Within, any statistic distribution in the reality can be modeled in OptiY® and the probabilistic analysis can be performed to obtain the output distributions accurately.